Respuesta :
Answer:x=8,y=1
Step-by-step explanation:
2x+4y=20
So, 4y=20-2x
So,2y=10-x
Now we can use this information to use in the second equation
3x+2y=26
3x+(10-x)=26
2x+10=26
2x=16
x=8
Now that we know that x=8, then we can solve for y.
2x+4y=20
2(8) +4y=20
16+4y=20
4y=4
y=1
Here is the process of how I did it:
Step 1: Make this equation : 2x+4y = 20 equal x by isolating x and bring everything else on the right side of the equation
2x + (4y-4y) = 20 - 4y
2x = 20 - 4y
[tex]\frac{2x}{2} = \frac{20 - 4y}{2}[/tex]
x = 10 - 2y
Step 2: In the other equation given (3x+2y=26) every time you see an x replace it with the equation solved above (x = 10 - 2y). This will help you find the y
3x+2y=26 ---> 3(10 - 2y)+2y=26
10(3) - 2y(3) + 2y = 26
30 - 6y + 2y = 26
(30-30) - 4y = (26 - 30)
[tex]\frac{-4y}{-4} =\frac{-4}{-4}[/tex]
y = 1
Step 3: In the equation you found in step 1 (x = 10 - 2y) plug 1 into all the y's so you can find x
x = 10 - 2y ---> x = 10 - 2(1)
x = 10 - 2
x = 8
Hope this helped!
